
The authors show that under a suitable condition certain reverse order laws are equivalent. Furthermore, by investigating a reverse order law in rings with involution, they show that under suitable assumptions a certain inclusion is always an equality.
idempotent element, group inverse, EP element, Generalized inverses (associative rings and algebras), left *-cancelable, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), Theory of matrix inversion and generalized inverses, reverse order law, Moore-Penrose inverse
idempotent element, group inverse, EP element, Generalized inverses (associative rings and algebras), left *-cancelable, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), Theory of matrix inversion and generalized inverses, reverse order law, Moore-Penrose inverse
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